Ения: (a ^ 2 + ax): ((ax)/(x ^ 2))

To simplify the given expression, we'll start by finding the common denominator for the two fractions:

Common denominator = x^2

Next, we'll rewrite the given expression using the common denominator:

((a^2 + ax) * (x^2))/((ax))

Now, we'll simplify the expression:

= (a^2x^2 + ax^3)/(ax)

Now, we'll factor out common terms from the numerator:

= (ax(ax + x^2))/(ax)

Next, we'll cancel out the common terms (ax) in the numerator and denominator:

= ax + x^2

Therefore, the simplified form of the given expression is ax + x^2.